Optimization of an empirical equation in drop shape theory and a structural–mechanical analysis of a caved ore and rock particle flow system
Bibliographic record
Abstract
The void ratio of the caved ore and rock particle system, which is a common and critical factor affecting draw, has not received much attention. In this paper, numerical draw tests were conducted to investigate the flow mechanism of caved ore and rock under varying void ratios. The study established a quantitative relationship between the void ratio of the particle system and the shape evolution of the isolated extraction zone (IEZ). To optimize the empirical equation for the IEZ shape, the drop shape (DS) theory was employed. Furthermore, a structural-mechanical analysis of the packing and flow particle systems was performed using the statistical mechanics method. The results demonstrated the following findings: (1) The void ratio significantly impacts the structural-mechanical characteristics of the gravity flow systems. As the void ratio increases, the IEZ shape transitions from a DS to an approximately ellipsoid shape and eventually to an upside-down DS. (2) With an increasing void ratio, the packing system of the caved ore and rock tends to become isotropic. This leads to a decrease in the degree of order, average coordination number, and average stress. (3) Notable correlations and consistency are observed in the laws governing the evolution of stress.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".